scholarly journals Existence Results for an Elliptic Equation of Kirchhoff-Type with Changing Sign Data

2012 ◽  
Vol 55 (1) ◽  
pp. 55-66 ◽  
Author(s):  
N. Azzouz ◽  
A. Bensedik
Keyword(s):  
Elliptic Equation ◽  
Existence Results ◽  
Kirchhoff Type

scholarly journals An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Chengfu Wang ◽  
Pengcheng Wu ◽  
Yuying Zhou
Keyword(s):  
Optimal Control ◽  
Variational Inequality ◽  
Optimal Control Problem ◽  
Variational Method ◽  
Control Problem ◽  
Nonlinear Analysis ◽  
Existence Results ◽  
Analysis Techniques ◽  
Kirchhoff Type

This paper is concerned with an optimal control problem governed by a Kirchhoff-type variational inequality. The existence of multiplicity solutions for the Kirchhoff-type variational inequality is established by using some nonlinear analysis techniques and the variational method, and the existence results of an optimal control for the optimal control problem governed by a Kirchhoff-type variational inequality are derived.

Remarks on an elliptic equation of Kirchhoff type

2005 ◽  
Vol 63 (5-7) ◽  
pp. e1967-e1977 ◽  
Author(s):  
T.F. Ma
Keyword(s):  
Elliptic Equation ◽  
Kirchhoff Type

Non-trivial solutions for nonlocal elliptic problems of Kirchhoff-type

2016 ◽  
Vol 23 (3) ◽  
pp. 293-301
Author(s):  
Ghasem A. Afrouzi ◽  
Armin Hadjian
Keyword(s):  
Variational Methods ◽  
Positive Solutions ◽  
Elliptic Problem ◽  
Elliptic Problems ◽  
Existence Results ◽  
Kirchhoff Type ◽  
Nonlocal Elliptic Problem

AbstractExistence results of positive solutions for a nonlocal elliptic problem of Kirchhoff-type are established. The approach is based on variational methods.

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